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Finding the Fourth Proportional to 7,770.94, 11,658.13 and 2,840.47

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Solution

The fourth proportional to 7,770.94, 11,658.13 and 2,840.47 is: 4,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.94 : 11,658.13 = 2,840.47 : x
  2. Step 2: Convert to fraction form
    7,770.94/11,658.13 = 2,840.47/x
  3. Step 3: Cross multiply
    7,770.94x = 11,658.13 × 2,840.47
  4. Step 4: Simplify right side
    7,770.94x = 33,114,532.27
  5. Step 5: Solve for x
    x = 33,114,532.27/7,770.94
  6. Step 6: Final answer
    x = 4,261.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.